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Finding the Fourth Proportional to 199,472,201.40, 299,208,302.10 and 194,993,225.40

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Solution

The fourth proportional to 199,472,201.40, 299,208,302.10 and 194,993,225.40 is: 292,489,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,472,201.40 : 299,208,302.10 = 194,993,225.40 : x
  2. Step 2: Convert to fraction form
    199,472,201.40/299,208,302.10 = 194,993,225.40/x
  3. Step 3: Cross multiply
    199,472,201.40x = 299,208,302.10 × 194,993,225.40
  4. Step 4: Simplify right side
    199,472,201.40x = 58,343,591,892,936,600
  5. Step 5: Solve for x
    x = 58,343,591,892,936,600/199,472,201.40
  6. Step 6: Final answer
    x = 292,489,838.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.